Cremona's table of elliptic curves

9350 = 2 · 5² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	9350bj	Isogeny class
Conductor	9350	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	92400	Modular degree for the optimal curve
Δ	-70397405237500000 = -1 · 25 · 58 · 117 · 172	Discriminant
Eigenvalues	2- -2 5- -2 11+ -1 17- -3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-114138,-19586108]	[a1,a2,a3,a4,a6]
j	-420973434058945/180217357408	j-invariant
L	1.2721550682148	L(r)(E,1)/r!
Ω	0.12721550682148	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	74800dl1 84150dl1 9350c1 102850bp1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9350bj1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-2	-	-2	+	-1	-	-3	7	3	-7	-2	0	-3	0	-12	6	-10	-6	3	8	-8	17	-9	-7

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Quadratic twists for elliptic curve 9350bj1

-4	-3	5	-11
74800dl1	84150dl1	9350c1	102850bp1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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